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131133040192 = 2671126609789
BaseRepresentation
bin111101000100000100…
…0110110011001000000
3110112110212221122120101
41322020020312121000
54122030024241232
6140124112052144
712321412310350
oct1721010663100
9415425848511
10131133040192
1150682200a90
12214b8234054
13c49a85320b
1464bdb68b60
1536275741e7
hex1e88236640

131133040192 has 56 divisors (see below), whose sum is σ = 324426559680. Its totient is φ = 51090792960.

The previous prime is 131133040151. The next prime is 131133040193. The reversal of 131133040192 is 291040331131.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 131133040192.

It is not an unprimeable number, because it can be changed into a prime (131133040193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13299967 + ... + 13309822.

Almost surely, 2131133040192 is an apocalyptic number.

It is an amenable number.

131133040192 is an abundant number, since it is smaller than the sum of its proper divisors (193293519488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131133040192 is a wasteful number, since it uses less digits than its factorization.

131133040192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26609819 (or 26609809 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 131133040192 in words is "one hundred thirty-one billion, one hundred thirty-three million, forty thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 26609789 53219578 106439156 186268523 212878312 292707679 372537046 425756624 585415358 745074092 851513248 1170830716 1490148184 1703026496 2048953753 2341661432 2980296368 4097907506 4683322864 5960592736 8195815012 9366645728 11921185472 16391630024 18733291456 32783260048 65566520096 131133040192